Part IV: Sections 5.5 - 5.717.Suppose that the number of defects in a randomly selectedone carat dliamond of a certain type follows a Poisson distribution withX= 3.By the Central Limit Theorem, what is the approximate(a)distribution of the mean number of defects in the random sample of 40one carat diamonds? You should give a name for the distribution, as welltwo associated numerical quantities.Estimate the largest number of defects y such that in(b)the random sample of 40 one carat diamonds, the probability that thesample mean number of defects is less than y is less than 98%.

Number of defects in one carat diamond follows a Poisson distribution with mean 3. So, mean number…

Answered: Part IV: Sections 5.5 - 5.7 17. Suppose…

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4. Suppose Y has Poisson distribution with A = 3.24. Then E(Y)=3.24. (a) What is the standard deviation of Y? (b) Find P(Y> 1). %3D (a) (b)
23. A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.8 seconds. A random sample of 24 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At α=0.10 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H0 and Ha. H0: muμ less than or equals≤ 14.814.8 Ha: muμ greater than> 14.814.8 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=1.651.65 (Round to two decimal places as needed.) Obtain the P-value. P=0.0560.056 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null…
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Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
Consider sample data with x = 8 and s = 4. (a) Compute the coefficient of variation. what percent? (b) Compute a 75% Chebyshev interval around the sample mean.Lower Limit =Upper Limit=
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Part IV: Sections 5.5-5.7 17. Suppose that the number of defects in a randomly selected one carat diamond of a certain type follows a Poisson distribution with X= 3. By the Central Limit Theorem, what is the approximate (a) distribution of the mean number of defects in the random sample of 40 one carat diamonds? You should give a name for the distribution, as well two associated numerical quantities. (b) the random sample of 40 one carat diamonds, the probability that the sample mean number of defects is less than y is less than 98%. Estimate the largest number of defects y such that in

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